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Finding the Fourth Proportional to 173.04, 258.84 and 129.84

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Solution

The fourth proportional to 173.04, 258.84 and 129.84 is: 194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.04 : 258.84 = 129.84 : x
  2. Step 2: Convert to fraction form
    173.04/258.84 = 129.84/x
  3. Step 3: Cross multiply
    173.04x = 258.84 × 129.84
  4. Step 4: Simplify right side
    173.04x = 33,607.79
  5. Step 5: Solve for x
    x = 33,607.79/173.04
  6. Step 6: Final answer
    x = 194.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.